Question

Juliet is currently on page 210 of an epic novel that is 980 pages long. She plans to read 30 pages per day until she finishes the novel. Write and solve a linear equation to determine how many days it will take Juliet to complete the novel.

What is the Slope?
What is the y-intercept?
Equation?
Answer?

Answer 1

Slope = 30

y-intercept = 980

Equation :
`980=30x+210`

Answer : it will take 26 days to complete the novel .

Explanation:

A novel contains 980 pages

Juliet already read 210 pages .

Let she will take x days to complete remaining pages

She decided to read 30 pages per day .

So , no. of pages she will read in x days = 30x

Since she already read 210 pages .

So, equation becomes :

`980=30x+210` --a

Now the general form of equation of line :
`y = mx+c`

Where m is the slope

Comparing the equation a with general form

So, m = 30

So, slope = 30

y-intercept = 980

Now to calculate the no. of days to read remaining pages.

`980=30x+210`

`980-210=30x`

`770=30x`

`(770)/(30) =x`

`25.66=x`

So, it will take 26 days to complete the novel .

Hence Slope = 30

y-intercept = 980

Equation :
`980=30x+210`

Answer : it will take 26 days to complete the novel .